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  • © 2019

Topics in Clifford Analysis

Special Volume in Honor of Wolfgang Sprößig

Birkhäuser
  • Provides an essential overview of modern topics in Clifford analysis
  • Dedicated to Prof. Wolfgang Sprößig

Part of the book series: Trends in Mathematics (TM)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xxi
  2. Clifford Analysis Theories

    1. Front Matter

      Pages 1-1
    2. Cauchy’s Formula in Clifford Analysis: An Overview

      • Fred Brackx, Hennie De Schepper, Roman Lávička, Vladimir Souček
      Pages 3-23
    3. Quaternionic Hyperbolic Function Theory

      • Sirkka-Liisa Eriksson, Heikki Orelma
      Pages 25-52
  3. Applications to Elliptic Partial Differential Equations

    1. Front Matter

      Pages 103-103
    2. A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space

      • Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
      Pages 105-124
    3. Hardy Spaces for the Three-Dimensional Vekua Equation

      • Briceyda B. Delgado, R. Michael Porter
      Pages 125-140
    4. Generalized Riesz Transforms, Quasi-Monogenic Functions and Frames

      • Swanhild Bernstein, Sandra Schufmann
      Pages 191-218
  4. Monogenic Polynomials and Numerical Methods

    1. Front Matter

      Pages 219-219
    2. Newton’s Approach to General Algebraic Equations over Clifford Algebras

      • Drahoslava Janovská, Gerhard Opfer
      Pages 267-276
  5. Differential Geometry

    1. Front Matter

      Pages 277-277
    2. Connections in Euclidean and Non-commutative Geometry

      • Viktor Abramov, Olga Liivapuu
      Pages 279-311
    3. Conformal Parametrisation of Loxodromes by Triples of Circles

      • Vladimir V. Kisil, James Reid
      Pages 313-330

About this book

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis.

The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.


Editors and Affiliations

  • Institut für Angewandte Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Swanhild Bernstein

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access